Monadology

Andrew M. Cavallo

In 2020 I published a book entitled Gödel's God Theorem, named for the Gödel-Scott Ontological Argument or, as I refer to it in the book, the Gödel-Scott System (GSS). But as a matter of actual fact, the book showcases four interlinking Leibnizian arguments for the necessary and unique existence of God. I say "unique" because it is fairly easy to derive a monotheism theorem from GSS.

The four arguments in the book are as follows:

  1. GSS. A formalization of Leibniz's Ontological Argument (LOA) that axiomatizes a monadological notion of positiveness, where a positive property appears to be a conjunction of Leibnizian perfections.

  2. ◇-Cosmological Argument (◇CA). My streamlined version of Leibniz's Cosmological Argument (LCA).

  3. A Possible Worlds Argument (PWA). An ingenious little argument taken directly from Leibniz.

  4. A Diagonal Eternal Truths Argument (DETA). My own invention that combines, on the one hand, Cantorian diagonalization and Gödelian incompleteness and, on the other hand, Leibniz's Eternal Truths Argument.

Some may understandably assume that my faith as a Catholic is the result of these arguments. But that is not so. For better or worse, my faith is not the result of any argument. Rather, Gödel's God Theorem is, for me, a journey into monadological philosophy. Theologically, I am closer to Nicholas of Cusa.

© Andrew M. Cavallo